Highest Common Factor of 229, 593, 911, 590 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 229, 593, 911, 590 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 229, 593, 911, 590 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 229, 593, 911, 590 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 229, 593, 911, 590 is 1.
HCF(229, 593, 911, 590) = 1
HCF of 229, 593, 911, 590 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 229, 593, 911, 590 is 1.
Highest Common Factor of 229,593,911,590 is 1
Step 1: Since 593 > 229, we apply the division lemma to 593 and 229, to get
593 = 229 x 2 + 135
Step 2: Since the reminder 229 ≠ 0, we apply division lemma to 135 and 229, to get
229 = 135 x 1 + 94
Step 3: We consider the new divisor 135 and the new remainder 94, and apply the division lemma to get
135 = 94 x 1 + 41
We consider the new divisor 94 and the new remainder 41,and apply the division lemma to get
94 = 41 x 2 + 12
We consider the new divisor 41 and the new remainder 12,and apply the division lemma to get
41 = 12 x 3 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 229 and 593 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(41,12) = HCF(94,41) = HCF(135,94) = HCF(229,135) = HCF(593,229) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 911 > 1, we apply the division lemma to 911 and 1, to get
911 = 1 x 911 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 911 is 1
Notice that 1 = HCF(911,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 590 > 1, we apply the division lemma to 590 and 1, to get
590 = 1 x 590 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 590 is 1
Notice that 1 = HCF(590,1) .
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Frequently Asked Questions on HCF of 229, 593, 911, 590 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 229, 593, 911, 590?
Answer: HCF of 229, 593, 911, 590 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 229, 593, 911, 590 using Euclid's Algorithm?
Answer: For arbitrary numbers 229, 593, 911, 590 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.